Heinbockel J.H. Introduction to Calculus, Vol 1

This is the first volume of an introductory calculus presentation intended for
future scientists and engineers. Volume I contains five chapters emphasizing funda-
mental concepts from calculus and analytic geometry and the application of these
concepts to selected areas of science and engineering. Chapter one is a review of
fundamental background material needed for the development of differential and
integral calculus together with an introduction to limits. Chapter two introduces
the differential calculus and develops differentiation formulas and rules for finding
the derivatives associated with a variety of basic functions. Chapter three intro-
duces the integral calculus and develops indefinite and definite integrals. Rules
for integration and the construction of integral tables are developed throughout
the chapter. Chapter four is an investigation of sequences and numerical sums
and how these quantities are related to the functions, derivatives and integrals of
the previous chapters. Chapter five investigates many selected applications of the
differential and integral calculus. The selected applications come mainly from the
areas of economics, physics, biology, chemistry and engineering.